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Finding the Fourth Proportional to 875.08, 1,312.71 and 412.73

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Solution

The fourth proportional to 875.08, 1,312.71 and 412.73 is: 619.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.08 : 1,312.71 = 412.73 : x
  2. Step 2: Convert to fraction form
    875.08/1,312.71 = 412.73/x
  3. Step 3: Cross multiply
    875.08x = 1,312.71 × 412.73
  4. Step 4: Simplify right side
    875.08x = 541,797.15
  5. Step 5: Solve for x
    x = 541,797.15/875.08
  6. Step 6: Final answer
    x = 619.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.